ICCNMC 2005: Networking and Mobile Computing pp 1253-1262 | Cite as

Online Internet Traffic Prediction Models Based on MMSE

  • Ling Gao
  • Zheng Wang
  • Ting Zhang
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3619)

Abstract

Traffic prediction model is critically important for network performance evaluation and services quality. Traditional traffic prediction models cannot reflect the characteristics of self-similar traffic. Current long-range prediction models, however, are too complex to be used as online traffic predictors. This paper presents two new traffic predictors which are MMSEP and NMSEP. They are based on minimum mean square error. Time series and control theory are used to build the mathematic models. By modifying the way of calculating the predicted error, MMESP and NMSEP can reflect the burst of self-similar traffic in multiple timescales. When compared with FARIMA model which is one of the best fractional predictor, numerical results of experiments show that MMSEP and NMSEP can achieve accuracy with less than 5% of errors while keeping simplify in computation and low memory used.

Keywords

Network Traffic Network Device Dynamic Bandwidth Allocation Traffic Prediction Traffic Forecast 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Aimin, S., Li, S.Q.: A Predictability Analysis of Network Traffic. In: IEEE INFOCOM 2000, Tel Aviv, Israel, pp. 342–351 (2000)Google Scholar
  2. 2.
    Amenyo, J.T., Lazar, A.A., Pacifici, G.: Proactive Cooperative Scheduling and Buffer Management for Multimedia Networks. In: ACM/Springer Verlag Multimedia Systems, vol. 1, pp. 37–49. ACM/Springer, Heidelberg (1993)Google Scholar
  3. 3.
    Jacobson, V.: Congestion Avoidance and Control. In: ACM SIGCOMM 1988, Stanford, CA, USA, pp. 314–329 (1988)Google Scholar
  4. 4.
    Brakmo, L.S., Peterson, L.L.: Tcp Vegas: End to End Congestion Avoidance on a Global Internet. IEEE Journal on Selected Areas in Communications 13, 1465–1480 (1995)CrossRefGoogle Scholar
  5. 5.
    Kim, M., Noble, B.: Mobile Network Estimation. In: ACM SIGMOBILE Seventh Annual International Conference on Mobile Computing and Networking, Rome, Italy, pp. 298–309 (2001)Google Scholar
  6. 6.
    Chong, S., Li, S.Q., Ghosh, J.: Predictive Dynamic Bandwidth Allocation for Efficient Transport of Real– Time Vbr Video over Atm. IEEE Journal on Selected Areas in Communications 13, 12–23 (1995)CrossRefGoogle Scholar
  7. 7.
    Lend, W.E., Taqqu, M., Willinger, W., et al.: On the Self-Similar Nature of Ethernet Traffic (Extended Version). IEEE/ACM Transactions on Networking 2, 1–15 (1994)CrossRefGoogle Scholar
  8. 8.
    Norros, I.: A Storage Model with Self-Similar Input. Queueing Systems 16, 387–396 (1994)MATHCrossRefMathSciNetGoogle Scholar
  9. 9.
    Granger, C.W.J., Joyexu, R.: An Introduction to Long-Memory Time Series Models and Fractional Differencing. Journal of Time Series Analysis 1, 15–29 (1980)MATHCrossRefMathSciNetGoogle Scholar
  10. 10.
    Shu, Y., Jin, Z., Wang, J., Yang, O.W.: Prediction-Based Admission Control Using Farima Models. In: IEEE ICC 2000, New Orleans, USA, pp. 1325–1329 (2000)Google Scholar
  11. 11.
    Ramachandran, R., Bhethanabotla, V.R.: Generalized Autoregressive Moving Average Modeling of the Bellcore Data. In: 25th Annual IEEE Conference on Local Computer Networks, Tampa, Florida, USA, pp. 654–661 (2000)Google Scholar
  12. 12.
    Fang, W., Peterson, L.: Inter-as Traffic Patterns and Their Implications. In: IEEE GLOBECOM 1999, Rio de Janeiro, Brazil, pp. 1859–1868 (1999)Google Scholar
  13. 13.
    Willinger, W., Taqqu, M.S., Sherman, R., et al.: Self-Similarity through High-Variability: Statistical Analysis of Ethernet Lan Traffic at the Source Level. IEEE/ACM Transaction on Networking 5, 71–86 (1997)CrossRefGoogle Scholar
  14. 14.
    Ghaderi, M.: On the Relevance of Self-Similarity in Network Traffic Prediction. University of Waterloo (2002)Google Scholar
  15. 15.
    George, E.P., Gwilym, M.J., Gregory, C.R.: Time Series Analysis Forecasting and Control, 2nd edn. Prentice-Hall, New York (1994)MATHGoogle Scholar
  16. 16.
    Haykin, S.: Adaptive Filter Theory, 2nd edn. Book Adaptive Filter Theory. Prentice-Hall, New York (1991)MATHGoogle Scholar
  17. 17.
    Addie, G.: Traffic Will Be More Gaussian in Future. In: Proceedings of the Australian Telecommunication Networks & Applications Conference (ATNAC 1996), Melbourne, Australia (1996)Google Scholar
  18. 18.
    Cristian, E., Geogre, V.: New Directions in Traffic Measurement and Accounting Focusing on the Elephants, Ignoring the Mice. In: ACM SIGCOMM Internet Measurement Workshop, San Francisco, pp. 75–80 (2001)Google Scholar
  19. 19.
    Yi, Q., Jason, S., Peter, D.: Multiscale Predictability of Network Traffic. Computer Science Department, Northwestern University. NWU-CS-02-13 (2002)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  • Ling Gao
    • 1
  • Zheng Wang
    • 2
    • 3
  • Ting Zhang
    • 4
  1. 1.Department of Computer ScienceXi’an JiaoTong UniversityXi’anChina
  2. 2.Department of Computer ScienceNorthwest UniversityXi’anChina
  3. 3.China Research LabIBMShanghaiChina
  4. 4.Key Laboratory of Geographical Science in Jiangsu ProvinceNanjing Normal UniversityNanjingChina

Personalised recommendations